Question

Use the image to answer the question.

A line segment on a coordinate plane. The x-axis ranges from negative 2 to 5 in unit increments. The y-axis ranges from negative 3 to 3 in unit increments. The line extends downward from point upper A on the top left, to point upper B on the bottom right.

Calculate midpoint M
of segment AB¯¯¯¯¯¯¯¯
.

(1 point)
Responses

M
is located at (3,0)
.
upper M is located at left parenthesis 3 comma 0 right parenthesis .

M
is located at (0.5,1)
.
upper M is located at left parenthesis 0.5 comma 1 right parenthesis .

M
is located at (1.5,0)
.
upper M is located at left parenthesis 1.5 comma 0 right parenthesis .

M
is located at (−2.5,2)
.
upper M is located at left parenthesis negative 2.5 comma 2 right parenthesis .

Answer 1

To calculate the midpoint \( M \) of a line segment \( AB \), we use the midpoint formula:

\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]

where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of points \( A \) and \( B \).

Since the exact coordinates of points \( A \) and \( B \) are not provided in the question, I can't directly give the coordinates of the midpoint without that information. However, if we assume you have that data and the line segment runs from some point \( A \) at the top left to point \( B \) at the bottom right, you would insert those coordinates into the formula to find \( M \).

To select the correct response, you'll need to compare the calculated \( M \) with the options provided and see which one matches your calculated midpoint based on the coordinates of points \( A \) and \( B \).

If you can provide the coordinates of points \( A \) and \( B \), I can help you calculate the midpoint accurately.